"This information — there is just too much of it," Johnson said. "I don't support any of it."
But Sheana Buchanan, 49, of Apple Valley, Calif., said she had no qualms about police using drones.
"I figure if you're doing something wrong, then you should be concerned about it," Buchanan said. "But if you're a law-abiding citizen, if you're concerned about safety ... and it's going to help catch the bad guys, have at it."
There was a gender gap in the poll, with men were more concerned about a loss of privacy if police start using drones than women — 40 percent to 30 percent. There was an even wider gap between white and black respondents, with 48 percent of blacks strongly concerned about a loss of privacy compared to 32 percent of whites.
But the poll found no significant difference between Democrats and Republicans on the issue.
Protecting privacy has long been an issue that resonates on both the political left and the right, said Jay Stanley, an American Civil Liberties Union senior policy analyst. He pointed to several bills that were introduced this year in Congress by Democratic and Republican lawmakers to prevent drones from being used in a manner that jeopardizes privacy.
"The awareness of drones and their privacy implications has really reached the American public," Stanley said. "This is a technology that people weren't thinking about at all or hadn't heard much about at all just a couple of years ago."
Responding to public concern, a drone industry trade group and the International Association of Police Chiefs have separately released voluntary guidelines for drone use in recent months.
"A lot of the public doesn't understand how the technology is being used," said Gretchen West, vice president of the Association for Unmanned Vehicle Systems International. "Law enforcement use (drones) to do the same thing they've used manned aircraft for years, it's just that (drones) are more affordable and usually a more efficient option."
The National Constitution Center is a nonpartisan, nonprofit organization that operates a Philadelphia museum and other educational programs about the Constitution.
The AP-NCC Poll was conducted by GfK Roper Public Affairs & Corporate Communications from Aug. 16-20, using landline and cellphone interviews with 1,006 randomly chosen adults. The margin of sampling error was plus or minus 3.9 percentage points.
Associated Press Deputy Director of Polling Jennifer Agiesta and AP News Survey Specialist Dennis Junius on contributed to this report.
Follow Joan Lowy at http://www.twitter.com/AP_Joan_Lowy
National Constitution Center: http://constitutioncenter.org/
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